A company introduces a new product for which the number of units sold \( S \) is given by the equation below, where \( t \) is the time in months. \(S ( t ) = 110 ( 7 - \frac { 9 } { 2 + t } )\)
(a) Find the average rate of change of \( S ( t ) \) during the first year.
(b) During what month of the first year does \( S ^ { \prime } ( t ) \) equal the average rate of change?
\(\frac{2970}{7}\\\)
Given the general term of the sequence, determine the first \(5\) terms:
\(a ( n ) = ( n - 1 ) / ( n + 1 )\) *
Kelvin is at his house located at \( ( 3,4 ) \) on a coordinate plane and walks to the store located at \( ( 1,0 ) \) . The store is located exactly half way between Kelvin's house and Mitch's house. To the nearest tenth, what is the distance between Kelvin's house and Mitch's house? A. \( 4.2 \) B. \( 4.5 \) C. \( 5.7 \) D. \( 8.9\)
